Question

please answer step by step​

Answer 1

Answer:

i) x=95°

ii)x=120°

iii)x=72°

iv)x=125°

Step-by-step explanation:

i). x+16 +x+12+(x-40)+(x-8)=360°. (sum of interior angles of a quadrilateral)

x+16+x+12+x-40+x-8=360°

x+x+x+x+16+12-40-8=360°

4x+28-48=360°

4x-20=360°

4x=360+20

4x=380

x=380/4

x= 95

ii)sum of interior angles of hexagon =720°

x+x+x+x+x+x=720°

6x=720°

x=720/6

x=120°

iii)sum of interior angles of pentagon =540°

y+y+y+y+y=540°

5y=540°

y=540/5

y=108°

x+y=180°

x+108°=180°

x=180-108=72°

x=72°

iv)sum of interior angles of heptagon=900°

135°+120°+125°+140°+155°+110°+x=900°

775°+x=900°

x=900-775

x=125°

HOPE IT HELPS....

Answer 2

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